Title | ||
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Coupling Navier-stokes and Cahn-hilliard Equations in a Two-dimensional Annular flow Configuration |
Abstract | ||
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In this work, we present a novel isogeometric analysis discretization for the Navier-Stokes- Cahn-Hilliard equation, which uses divergence-conforming spaces. Basis functions generated with this method can have higher-order continuity, and allow to directly discretize the higher- order operators present in the equation. The discretization is implemented in PetIGA-MF, a high-performance framework for discrete differential forms. We present solutions in a two- dimensional annulus, and model spinodal decomposition under shear flow. |
Year | DOI | Venue |
---|---|---|
2015 | 10.1016/j.procs.2015.05.228 | Procedia Computer Science |
Keywords | Field | DocType |
Phase-field modeling,Navier-Stokes equation,high-order partial differential equation,iso-geometric analysis,divergence-conforming spaces | Discretization,Differential equation,Mathematical optimization,Isogeometric analysis,Computer science,First-order partial differential equation,Basis function,Partial differential equation,Shear flow,Hyperbolic partial differential equation | Conference |
Volume | ISSN | Citations |
51 | 1877-0509 | 4 |
PageRank | References | Authors |
0.95 | 10 | 5 |
Name | Order | Citations | PageRank |
---|---|---|---|
Philippe A. Vignal | 1 | 12 | 3.48 |
Adel Sarmiento | 2 | 14 | 2.86 |
Adriano M. A. Côrtes | 3 | 11 | 2.06 |
Lisandro Dalcín | 4 | 128 | 18.25 |
Victor M. Calo | 5 | 191 | 38.14 |